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Finding the Fourth Proportional to 53,697.68, 80,540.34 and 14,257.88

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Solution

The fourth proportional to 53,697.68, 80,540.34 and 14,257.88 is: 21,385.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,697.68 : 80,540.34 = 14,257.88 : x
  2. Step 2: Convert to fraction form
    53,697.68/80,540.34 = 14,257.88/x
  3. Step 3: Cross multiply
    53,697.68x = 80,540.34 × 14,257.88
  4. Step 4: Simplify right side
    53,697.68x = 1,148,334,100.18
  5. Step 5: Solve for x
    x = 1,148,334,100.18/53,697.68
  6. Step 6: Final answer
    x = 21,385.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.